Answer :
Step-by-step explanation:
Absolutely, I can assist you with that.
The total length of the rope was 98/5 meters, and Ajay cut two pieces of 13/4 meters and 17/2 meters respectively. Let's find the remaining length of the rope.
Steps to solve:
* Find the total length of the cut pieces:
* Piece 1: 13/4 meters
* Piece 2: 17/2 meters
* Total cut length = 13/4 meters + 17/2 meters
* Subtract the total cut length from the original rope length to find the remaining rope length.
Calculation:
* Total cut length = (13/4 meters) + (17/2 meters)
* To add fractions with different denominators, find a common denominator. The smallest common denominator for 4 and 2 is 4.
* Piece 1: (13/4 meters) x (1/1) = 13/4 meters (no change)
* Piece 2: (17/2 meters) x (2/2) = 34/4 meters
* Total cut length = 13/4 meters + 34/4 meters = 47/4 meters
* Remaining rope length = Total original length - Total cut length
* Total original length = 98/5 meters
* Remaining rope length = (98/5 meters) - (47/4 meters)
* We can simplify the denominators further if needed.
* Remaining rope length = (98 x 4) / (5 x 4) - 47/4
* Remaining rope length = 392/20 - 47/4
* Find a common denominator for 20 and 4:
* Remaining rope length = (392 x 1) / (20 x 1) - (47 x 5) / (4 x 5)
* Remaining rope length = 392/20 - 235/20
* Remaining rope length = 392 - 235 / 20
* Remaining rope length = 157/20 meters
Therefore, the remaining rope length is 157/20 meters, which is equivalent to 7.85 meters (rounded to two decimal places).